(Examination time:/kloc-90 out of 0/00)
The title is one two three four five six.
score
1. Multiple choice questions: (3 points for each small question, * * * 36 points)
1. Which of the following pictures is translated from the left picture ()?
2. Among the following points, the point in the second quadrant is ().
A.(2，3) B. (2，-3)c .(2，-3)d .(2，3)
3. Among the angles formed by two intersecting straight lines, the most redundant angle is adjacent to ().
A. 1 pair B.2, pair C.3 and pair d.4.
4. If the point P(5, y) is in the fourth quadrant, the value range of y is ().
A.y0 C.y≤0 D.y≥0
5. As shown in figure 1, the straight line AB and CD intersect at point O, and it cannot be said that AB⊥CD is () in the following conditions.
A.∠AOD = 90b∠AOC =∠BOC
C.∠BOC+∠BOD = 180d .∠AOC+∠BOD = 180
6. As shown in Figure 2, straight line AB and CD intersect at point O, and OE⊥AB is at point O, if ∠ COE = 55.
So the degree of ∠BOD is ()
A.40 B. 45 C. 30 D. 35
7. As shown in Figure 3, AD∨BC can get ().
A.∠ 1=∠2 B.∠2=∠3
C.∠ 1=∠4 D.∠3=∠4
8. The line segment CD is translated from the line segment AB. Point A (–1,4) corresponds to point c (4 4,7).
Then the coordinate of point D corresponding to point B (–4,–1) is ().
A.(2，9) B.(5，3) C.( 1，2)d .(–9，–4)
9. Choose three pieces of wood with the length of 10, 7, 5 and 4 to form a triangle. Different selection methods are ().
A.4 species B.3 species C.2 species D. 1 species.
10. As shown in Figure 4, there are () conditions that can be determined.
( 1) ; (2) ;
(3) ; (4) .
A. 1
1 1, as shown in Figure 5, the coordinate of the chess piece "Car" is (-2,3), and the coordinate of the chess piece "Horse" is (1 3).
Then the coordinate of the chess piece "cannon" is ()
A.(3，2)b .(3， 1)
C.(2，2)d .(2，2)
12, as shown in Figure 6, AB∨CD and ED share ∠ BEF equally.
If ∠ 1 = 72, the degree of ∠2 is ()
A. XXXVI B.54
C.45 D.68
Two. Fill in the blanks: (3 points for the first sub-question, *** 18 points)
13, as shown in fig. 7, where line A and line B intersect, ∠ 1 = 40, then ∠2= degrees.
14, as shown in Figure 8, the known vertical feet are,
Where AC=6, BC=8, AB= 10 and CD=4.8, the distance from point B to AC is.
15, as shown in Figure 9. If the straight lines ∨ and ∠ 1 = 60, the degree of ∠2 is.
16. After translating point A (3 3,6) to the left by 3 units and then to the down by 6 units,
The coordinates of the obtained point are.
17. When three straight lines intersect on a plane, they can form an antipodal angle at most.
18. If P(m+3, 2m+4) is on the Y axis, then the coordinate of point P is _ _ _ _ _ _ _ _.
Three. Drawing questions: (5 points)
19, as shown in the figure, translate △ABC to move point A to point D, and draw the translated △DEF.
Fourth, calculation questions: (6 points for each small question, *** 12 points)
20. as shown in the figure, AB⊥CD, the vertical foot is o, EF passes through o, ∠ 1 = 26, and the degrees of ∠2, ∠3 and ∠4 are found.
2 1. As shown in the figure, ∠ 1 = 80, ∠ 2 = 80, ∠ 3 = 70. Find the degrees of ∠4 and ∠5.
V (8 points for each small question, *** 16 points)
22. As shown in the figure, △ABC is in a rectangular coordinate system.
(1) Please write down the coordinates of each point of △ABC.
(2) If △ABC moves up by 2 units and then to the left by 1 unit, then △ A ′ B ′ C ′ is obtained.
Write the coordinates of a', b' and c'.
(3) Find the area of triangle ABC.
23. As the picture shows, this is a partial sketch of a city. Please establish a suitable plane rectangular coordinate system and write the coordinates of each place separately.
Six, (24 questions 8 points, 25 questions 5 points, *** 13 points)
24. Complete the following problem-solving process and fill in the basis in brackets.
As shown in the figure, ef∨ad, ∠ 1 = ∠ 2, ∠ BAC = 85. Find the degree of ∠AGD.
Solution: ∫EF∨AD,
∴∠2=____( )
∫≈ 1 =∠2
∴∠ 1=∠3
∴ ∥____( )
∴∠BAC+______= 180()
∫∠BAC = 85
∴∠AGD=_______
25. As shown in the figure, AE∨BC and AE share equally ∠CAD. What is the relationship between ∠B and ∠C in the observation chart? And explain why.